A statistical model for point-based target registration error with anisotropic fiducial localizer error

IEEE Transactions on Medical Imaging

Volumn 27, Issue 3, 2008, Pages 378-390

  Wiles, Andrew D ^a,b,c   Likholyot, Alexander ^d   Frantz, Donald D ^d   Peters, Terry M ^b,c  

^a IEEE

^b ROBARTS RESEARCH INSTITUTE   (Canada)

^c UNIVERSITY OF WESTERN ONTARIO   (Canada)

^d Northern Digital Inc   (Canada)

Author keywords

Anisotropic fiducial localizer error; Optical tracking; Point based registration; Target registration error model

Indexed keywords

IMAGE ANALYSIS; IMAGE REGISTRATION; MATHEMATICAL MODELS; MEDICAL IMAGING; OPTICAL DEVICES; STATISTICAL METHODS;

ANISOTROPIC FIDUCIAL LOCALIZER ERRORS; OPTICAL TRACKING; POINT BASED REGISTRATION; TARGET REGISTRATION ERROR MODELS;

ERROR ANALYSIS;

ALGORITHM; ANISOTROPY; ARTICLE; ARTIFACT; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; ANISOTROPY; ARTIFACTS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; MODELS, STATISTICAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SUBTRACTION TECHNIQUE;

EID: 40149095934     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2007.908124     Document Type: Article

References (19)

1. X. Huang, N. A. Hill, J. Ren, G. Guiraudon, D. Boughner, and T. M. Peters, "Dynamic 3-D ultrasound and MR image registration of the beating heart," in Med. Image Comput. Computer-Assisted Intervention- MICCAI2005, 2005, vol. 3750, pp. 171-178, LNCS.
2. T. M. Peters, "A review of image-guided surgery from x-rays to virtual reality," Comput. Meth. Biomech. Biomed Eng., vol. 4, no. 1, pp. 27-57, 2000.
3. T. M. Peters, "Image-guidance for surgical procedures," Phys. Med. Biol., vol. 51, pp. R505-R540, 2006.
4. J. M. Fitzpatrick, J. B. West, and C. R. Maurer, Jr., "Predicting error in rigid-body point-based registration," IEEE Trans. Med. Imag., vol. 17, no. 5, pp. 694-702, Oct. 1998.
5. J. M. Fitzpatrick and J. B. West, "The distribution of target registration error in rigid-body point-based registration," IEEE Trans. Med. Imag., vol. 20, no. 9, pp. 917-927, Sep. 2001.
6. J. B. West and C. R. Maurer, Jr., "Designing optically tracked instruments for image-guided surgery," IEEE Trans. Med. Imag., vol. 23, no. 5, pp. 533-545, May 2004.
7. A. D. Wiles, D. G. Thompson, and D. D. Frantz, "Accuracy assessment and interpretation, for optical tracking systems," in Proc. SPIE, Med. Imag., Vis., Image-Guided Procedures, Display, San Diego, CA, Feb. 2004, vol. 5367, pp. 421-432.
8. P. H. Schönemann, "A generalized solution of the orthogonal procrustes problem," Psychometrica, vol. 31, no. 1, pp. 1-10, Mar. 1966.
9. J. M. Fitzpatrick, D. L. G. Hill, and C. R. Maurer, Jr., "Image registration," in Handbook of Medical Imaging. Bellingham, WA, : SPIE Press, Oct. 2000, vol. II, Medical Image Processing and Analysis.
10. B. K. Horn, "Closed form solution of absolute orientation using unit quaternions," J. Opt. Soc. Amer., vol. 4, no. 4, pp. 629-642, 1987.
11. C. R. Maurer, Jr., J. M. Fitzpatrick, M. Y. Wang, R. L. Galloway, Jr., R. J. Maciunas, and G. S. Allen, "Registration, of head volume images using implantable fiducial markers," IEEE Trans. Med. Imag., vol. 16, no. 4, pp. 447-462, Aug. 1997.
12. M. T. Chu and N. T. Trendafilov, "On a differential equation approach to the weighted orthogonal procrustes problem," Stat. Comput., vol. 8, pp. 125-133, 1998.
13. P. G. Batchelor and J. M. Fitzpatrick, "A study of the anisotropically weighted procrustes problem," in Proc. IEEE Workshop Math. Methods Biomed. Image Anal., Hilton Head Island, SC, Jun. 2000, pp. 212-218.
14. A. D. Wiles and T. M. Peters, "Improved statistical TRE model when using a reference frame," in Med. Image Comput. Computer-Assisted Intervention-MICCAI2007, Brisbane, Australia, Oct/Nov. 2007, vol. 4791, pp. 442-449, LNCS.
15. K. V. Mardia and P. E. Jupp, Directional Statistics. New York: Wiley, 2000.
16. D. G. Gobbi, R. M. Comeau, and T. M. Peters, "Ultrasound probe tracking for real-time ultrasound/MRI overlay and visualization of brain shift," in Med. Image Comput. Computer-Assisted Intervention - MICCAI 1999, 1999, vol. 1679, pp. 920-927, LNCS.
17. T. W. Anderson, An Introduction to Multivariate Statistical Analysis, 2nd ed. New York: Wiley, 1984.
18. M.S. Srivastava and C. G. Kliatri, An Introduction to Multivariate Statistics. New York: North-Holland, 1979.
19. D. Y. Hsu, Spatial Error Analysis, A Unified Application-Oriented Treatment. New York: IEEE Press, 1999.